IMO - Mock Test

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IMO - Mock Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

What number will come next in the following series?

73, 80, 76, 83, 79, 86,

A
80

B
81

C
82

D
83

Solution

It consists of two series:
First series: 73, 76, 79
Logic: Add 3 to get the next term.
So, 79 + 3 = 82
Second series: 80, 83, 86
Logic: Add 3 to get the next term.
Question 2
1 / -0

In the following question, find out the alternative which will replace the question mark.

Thermometer : Temperature : : Odometer : ?

A
Time

B
Speed

C
Distance

D
Pressure

Solution

Just as a thermometer is used to measure temperature, similarly, an odometer is an instrument used for measuring the distance travelled by a wheeled vehicle.
Question 3
1 / -0

If the digits of the number 78562348910 are arranged in a descending order from left to right, then what will be the difference between the digit which is second from the left and the digit which is third from the right?

A
-7

B
5

C
6

D
10

Solution

This is the correct option.
After arranging the digits of the number 78562348910 in descending order from left to right, we get 98876543210.

The digit which is second from the left is 8.
The digit which is third from the right is 2.

Required difference = 8 – 2 = 6
Question 4
1 / -0

Arrange the words given below in a meaningful sequence.

1. Exams
2. Study
3. Apply
4. Job
5. Interview
6. Earn

A
2, 3, 1, 5, 4, 6

B
2, 1, 3, 5, 4, 6

C
1, 2, 3, 4, 5, 6

D
2, 1, 5, 3, 4, 6

Solution

2, 1, 3, 5, 4, 6 is the correct order. First, a person will study, then appear for exams. Only after that, he will apply for a job and crack an interview for the job. Then, he will pursue the job and will earn.
Question 5
1 / -0

How many times exactly do three Ns occur together in the following sequence?

HHNNHHHNNNHHNNHHNNNHHHNHNHHH

A
1

B
2

C
3

D
4

Solution

Three Ns occur together twice in the sequence given in the question. It is shown below:

HHNNHHHNNNHHNNHHNNNHHHNHNHHH
Question 6
1 / -0

Pointing to a girl, Sukh tells Aman that she is the only daughter of her husband's mother. How is that girl related to Sukh?

A
Sister-in-law

B
Sister

C
Aunt

D
Mother-in-law

Solution

The only daughter of Sukh's husband's mother will be the sister of Sukh's husband, and thus sister-in-law of Sukh.
Question 7
1 / -0

Kamal has written the following series:

197, 204, 211, 218, 225, 232, 239, 245, 253, 260

Find the wrong term in the series.

A
225

B
232

C
239

D
245

Solution

The difference between two successive terms in the series is 7, except between 239 and 245. Therefore, it should be 246 instead of 245.
Question 8
1 / -0

Which of the following is the greatest in value?

XV, XIV, 35, XXX

A
XXX

B
XIV

C
XV

D
35

Solution

XV, XIV, 35, XXX

XXX = 30
XIV = 14
XV = 15
Hence, 35 is the greatest.
Question 9
1 / -0

If the perimeter of a regular pentagon is x metres, then what is the length of each side of the pentagon?

A
(x + 5) metres

B
(x - 5) metres

C
(x ÷ 5) metres

D
(x × 5) metres

Solution

Perimeter of a pentagon is the total length of all the sides of the pentagon. A pentagon has 5 sides, so we need to divide the total length by 5 to get the length of each side.
Question 10
1 / -0

The temperature was 25°C on Monday and it dropped by 12°C on Tuesday. What was the temperature on Wednesday if it was 4°C higher than that on Tuesday?

A
3°C

B
17°C

C
18°C

D
24°C

Solution

Temperature on Monday = 25°C.
Temperature on Tuesday = Temperature on Monday - 12°C = 25°C - 12°C = 13°C
Temperature of Wednesday = Temperature on Tuesday + 4°C = 13°C + 4°C = 17°C
Question 11
1 / -0

A car travels 120 km in 2.5 hours and a bike travels 1,20,000 m in 3 hours. What is the ratio of distance travelled by the car to that travelled by the bike in 1 hour?

A
5 : 6

B
6 : 5

C
5000 : 6

D
6 : 5000

Solution

Distance travelled by the car in 2.5 hours = 120 km
Distance travelled by the car in 1 hour = (120/2.5) km = 48 km
Distance travelled by the bike in 3 hours = 1,20,000 m = 120 km
Distance travelled by the bike in 1 hour = (120/3) km = 40 km
Required ratio = 48 : 40 = 6 : 5
Question 12
1 / -0

If 29035000000 is written as m×10⁹, then find out the value of m.

A
2.9035

B
29.035

C
290.35

D
2903.5

Solution

29035000000 = 29.0.35 ×10⁹
So, value of m will be 29.035.
Question 13
1 / -0

Solve the given equation and find the value of x.

5(x + 2) = 2(5x - (-3))

A
0.8

B
1.2

C
2.3

D
3.6

Solution

By solving the given equation,
5x + 10 = 2(5x + 3)
5x + 10 = 10x + 6
10 - 6 = 10x - 5x
4 = 5x
x = 4/5
= 0.8
Question 14
1 / -0

What is the base of a triangle if the area is 10 times the height of the triangle?

A
10 m

B
15 m

C
20 m

D
25 m

Solution

Area of the triangle = 1/2 × base × height

Also, area = 10 height

So, 10 height = 1/2 × base × height

Therefore, base = 20 m
Question 15
1 / -0

Length of a wire required to fence a rectangular field is 54 m. Find the area of the field if its length is 12 m.

A
120 m²

B
180 m²

C
200 m²

D
210 m²

Solution

Length of the wire required to fence the field = perimeter of the field = 54 m
(l + b) = 54 m
l + b = 27 m
b = (27 - l) m
b = (27 - 12) m = 15 m
Therefore, area of the field = l x b = 12 × 15 = 180 m²
Question 16
1 / -0

Find the difference between the smallest 8-digit number and the largest 5-digit number.

A
9,99,999

B
10,00,000

C
10,00,999

D
99,00,001

Solution

Smallest 8-digit number = 1,00,00,000
Largest 5-digit number = 99,999
Difference = 1,00,00,000 – 99,999
= 99,00,001
Question 17
1 / -0

The simple algebraic expression of 4st(s – t) – 6s²(t – t²) – 3t²(2s² – s) + 2st(s – t) is

A
–st²

B
–2st²

C
–3st²

D
–4st²

Solution

4st(s - t) - 6s²(t - t²) - 3t²(2s² - s) + 2st(s - t)
= 6st(s - t) - 6s²(t - t²) - 3t²(2s² - s)
= 6s²t - 6st² - 6s²t + 6s²t² - 6s²t² + 3st²
= -6st² + 3st²
= (-3 s t²)
Question 18
1 / -0

A square paper has the length of 1.2 m. Find out what will be the ratio of the width of the paper to its length.

A
1 : 1

B
1 : 2

C
1 : 3

D
2 : 3

Solution

1 : 1 is the correct answer because length and width are always same in a square. A square has all sides equal.
Question 19
1 / -0

What is the least number that when divided by 15 and 18 leaves a remainder of 8?

A
80

B
82

C
95

D
98

Solution

L.C.M. of 15 and 18 = 90
Therefore, required number = 90 + 8 = 98
Question 20
1 / -0

Jimy has Rs. 250. He divides them among his brother Rahul and sister Ashley in the ratio 2 : 3, respectively. How much money does his brother get?

A
Rs. 50

B
Rs. 100

C
Rs. 150

D
Rs. 200

Solution

The ratio is 2 : 3.
So, amount of money his brother got = (2/5)×250 = Rs. 100
Question 21
1 / -0

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Andrew's scores in five successive rounds were -5, 25, -10, 15 and 10, what was his total score in the end?

A
25

B
35

C
45

D
55

Solution

Andrew's scores in five successive rounds = -5, 25, -10, 15 and 10
Total score of Andrew in the end will be the sum of these scores.
Therefore, Andrew's total score in the end = -5 + 25 - 10 + 15 + 10 = 35
Question 22
1 / -0

Dhoni wants to buy a skipping rope that costs Rs. 110, a board game that costs Rs. 80, and a playground ball that costs Rs. 110. He has saved Rs. 30 from his allowance, and his uncle gives him Rs. 150. How much more money does Dhoni need to buy the skipping rope, the game, and the ball?

A
Rs. 110

B
Rs. 120

C
Rs. 130

D
Rs. 140

Solution

Total cost of the skipping rope, the game, and the ball = Rs. 110 + Rs. 80 + Rs. 110 = Rs. 300
Total amount of money from the allowance and the uncle = Rs. 30 + Rs. 150 = Rs. 180
Amount of money that is still required = Rs. 300 – Rs. 180 = Rs. 120
Question 23
1 / -0

David wants to share 80 sweets among three children, so that the second child gets twice as much as the first child and the third child gets 5 sweets less than the second child. How many sweets would each child get?

A
15, 30, 32

B
17, 34, 29

C
17, 38, 30

D
19, 38, 31

Solution

Let x be the number of sweets that first child gets.
Then, the second gets twice as much, i.e 2x.
And the third gets 5 sweets less from the second child's share, i.e 2x − 5.

The sum is 80.
Therefore, x + 2x + 2x - 5 = 80,
5x = 80 + 5
x = 85/5 = 17
Hence, the first child would get 17 sweets.
Number of sweets with the second child = 2x = 2 × 17 = 34
Number of sweets with the third child = 2x − 5 = 34 - 5 = 29
Question 24
1 / -0

In a shop, there are 30 pencil boxes. If 18 out of them are blue and the remaining are pink, which of the following fractions represents the number of boxes that are pink in colour?

A
2/5

B
3/5

C
7/15

D
4/5

Solution

Total number of pencil boxes = 30
Number of boxes that are blue = 18
Therefore, number of boxes that are pink = 30 - 18 = 12
Hence, fraction of pink boxes = 12/30 = 2/5
Question 25
1 / -0

There was a survey conducted by Indian government that one out of every three houses has cars of Ford company. What percent of houses have the cars of Ford company?

A
30%

B
33.33%

C
58.34%

D
95%

Solution

We know that if we talk about 1 out of 3, it means 1/3. If we have to convert it into the percentage, we multiply the same with 100.

Therefore, 1/3 × 100 = 33.33%

Hence, 33.33% of houses have the cars of Ford company.
Question 26
1 / -0

120 chocolates are packed in three boxes (red, yellow, pink) such that the red box has 20 more chocolates than the yellow box and 20 less than the pink box. What is the number of chocolates in the yellow box?

A
8

B
14

C
20

D
25

Solution

Let the number of chocolates in the pink box be x.
Then, number of chocolates in the red box = (x - 20)
And the number of chocolates in the yellow box = (x - 40)
Altogether, x + x – 20 + x – 40 = 120
Or x = 60
So, number of chocolates in the yellow box = 60 - 40 = 20
Question 27
1 / -0

A submarine was floating below sea. Initially, the submarine was 570 ft below the level of sea. After an hour, it dipped 100 ft down; and again, after an hour, it reached 50 ft above the previous level. What should be the new level of that submarine?

A
420 ft

B
470 ft

C
520 ft

D
620 ft

Solution

Initial level of submarine in the sea = 570 ft below the sea level
Level after an hour = 570 ft + 100 ft = 670 ft
Level after next hour = 670 ft – 50 ft = 620 ft
Or (570 + 100 - 50) ft
Question 28
1 / -0

Out of 35 friends, 5 like burger,10 like pizza, 15 like noodles and others like dosa. Find out the ratio of number of friends who like pizza to the number of friends who like dosa.

A
2 : 1

B
2 : 7

C
10 : 2

D
1 : 2

Solution

Number of friends who like pizza = 10
Number of friends who like noodles = 15
Total number of friends = 35
Number of friends who like burger = 5
Number of friends who like dosa = 5
Ratio of the number of friends who like pizza to the number of friends who like dosa = 10/5 = 2 : 1
Question 29
1 / -0

Sam earned 72,000 and spent 48,000 in one year. Find out what will be the ratio of his earning to savings.

A
1 : 2

B
3 : 1

C
3 : 4

D
3 : 2

Solution

Savings = 72000 - 48000 = 24000
Ratio of earning to savings = 72000 : 24000 = 3 : 1

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Re-Attempt Weekly Quiz Competition

IMO - Mock Test - 3

Result

IMO - Mock Test - 3

Score

-

Rank

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SHARING IS CARING

Question 1

80

81

82

83

Solution

Question 2

Time

Speed

Distance

Pressure

Solution

Question 3

-7

5

6

10

Solution

Question 4

2, 3, 1, 5, 4, 6

2, 1, 3, 5, 4, 6

1, 2, 3, 4, 5, 6

2, 1, 5, 3, 4, 6

Solution

Question 5

1

2

3

4

Solution

Question 6

Sister-in-law

Sister

Aunt

Mother-in-law

Solution

Question 7

225

232

239

245

Solution

Question 8

XXX

XIV

XV

35

Solution

Question 9

(x + 5) metres

(x - 5) metres

(x ÷ 5) metres

(x × 5) metres

Solution

Question 10

3°C

17°C

18°C

24°C

Solution

Question 11

5 : 6

6 : 5

5000 : 6

6 : 5000

Solution

Question 12

2.9035

29.035

290.35

2903.5

Solution

120 m²

180 m²

200 m²

210 m²

–st²

–2st²

–3st²

–4st²